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Simplifying -2(2 + -1b) = -8(10 + -5b) (2 * -2 + -1b * -2) = -8(10 + -5b) (-4 + 2b) = -8(10 + -5b) -4 + 2b = (10 * -8 + -5b * -8) -4 + 2b = (-80 + 40b) Solving -4 + 2b = -80 + 40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-40b' to each side of the equation. -4 + 2b + -40b = -80 + 40b + -40b Combine like terms: 2b + -40b = -38b -4 + -38b = -80 + 40b + -40b Combine like terms: 40b + -40b = 0 -4 + -38b = -80 + 0 -4 + -38b = -80 Add '4' to each side of the equation. -4 + 4 + -38b = -80 + 4 Combine like terms: -4 + 4 = 0 0 + -38b = -80 + 4 -38b = -80 + 4 Combine like terms: -80 + 4 = -76 -38b = -76 Divide each side by '-38'. b = 2 Simplifying b = 2
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